101111011212100 has 36 divisors (see below), whose sum is σ = 219425891758164. Its totient is φ = 40441639982080.

The previous prime is 101111011212053. The next prime is 101111011212139. The reversal of 101111011212100 is 1212110111101.

It can be written as a sum of positive squares in 6 ways, for example, as 35695558379776 + 65415452832324 = 5974576^2 + 8087982^2 .

It is a super-2 number, since 2×101111011212100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33085669 + ... + 36012268.

It is an arithmetic number, because the mean of its divisors is an integer number (6095163659949).

Almost surely, 2^{101111011212100} is an apocalyptic number.

101111011212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111011212100 is an abundant number, since it is smaller than the sum of its proper divisors (118314880546064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101111011212100 is a wasteful number, since it uses less digits than its factorization.

101111011212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69112584 (or 69112577 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101111011212100 its reverse (1212110111101), we get a palindrome (102323121323201).

The spelling of 101111011212100 in words is "one hundred one trillion, one hundred eleven billion, eleven million, two hundred twelve thousand, one hundred".